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6340104 = 2332173509
BaseRepresentation
bin11000001011111000001000
3102221002222200
4120023320020
53110340404
6343520200
7104614161
oct30137010
912832880
106340104
113640461
122159060
13140ca54
14bb0768
15853839
hex60be08

6340104 has 48 divisors (see below), whose sum is σ = 17304300. Its totient is φ = 2097024.

The previous prime is 6340069. The next prime is 6340109. The reversal of 6340104 is 4010436.

It can be written as a sum of positive squares in 2 ways, for example, as 5336100 + 1004004 = 2310^2 + 1002^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (6340109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12202 + ... + 12710.

Almost surely, 26340104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6340104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8652150).

6340104 is an abundant number, since it is smaller than the sum of its proper divisors (10964196).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6340104 is a wasteful number, since it uses less digits than its factorization.

6340104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 687 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 6340104 is about 2517.9563141564. The cubic root of 6340104 is about 185.0825441240.

The spelling of 6340104 in words is "six million, three hundred forty thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 173 346 509 519 692 1018 1038 1384 1527 1557 2036 2076 3054 3114 4072 4152 4581 6108 6228 9162 12216 12456 18324 36648 88057 176114 264171 352228 528342 704456 792513 1056684 1585026 2113368 3170052 6340104